Bayesian tensor decomposition for signal processing and machine learning : modeling, tuning-free algorithms and applications / Lei Cheng, Zhongtao Chen, and Yik-Chung Wu.

Format:

Book

Author/Creator:

Cheng, Lei, author.

Chen, Zhongtao, author.

Wu, Yik-Chung, author.

Language:

English

Subjects (All):

Machine learning--Statistical methods.

Machine learning.

Signal processing--Statistical methods.

Signal processing.

Physical Description:

1 online resource (189 pages)

Edition:

1st ed. 2023.

Place of Publication:

Cham, Switzerland : Springer, [2023]

Summary:

This book presents recent advances of Bayesian inference in structured tensor decompositions. It explains how Bayesian modeling and inference lead to tuning-free tensor decomposition algorithms, which achieve state-of-the-art performances in many applications, including blind source separation; social network mining; image and video processing; array signal processing; and, wireless communications. The book begins with an introduction to the general topics of tensors and Bayesian theories. It then discusses probabilistic models of various structured tensor decompositions and their inference algorithms, with applications tailored for each tensor decomposition presented in the corresponding chapters. The book concludes by looking to the future, and areas where this research can be further developed. Bayesian Tensor Decomposition for Signal Processing and Machine Learning is suitable for postgraduates and researchers with interests in tensor data analytics and Bayesian methods.

Contents:

Tensor decomposition: Basics, algorithms, and recent advances

Bayesian learning for sparsity-aware modeling

Bayesian tensor CPD: Modeling and inference

Bayesian tensor CPD: Performance and real-world applications

When stochastic optimization meets VI: Scaling Bayesian CPD to massive data

Bayesian tensor CPD with nonnegative factors

Complex-valued CPD, orthogonality constraint and beyond Gaussian noises

Handling missing value: A case study in direction-of-arrival estimation

From CPD to other tensor decompositions.

Notes:

Description based on print version record.

Other Format:

Print version: Cheng, Lei Bayesian Tensor Decomposition for Signal Processing and Machine Learning

ISBN:

3-031-22438-8